Circuit Analysis for Analog Designers

By Prof. Shanthi Pavan   |   IIT Madras
Learners enrolled: 1812
About the Course:
The course is intended to cover topics in circuit analysis that an analog designer uses on a daily basis. After a refresher and building background in linear-time invariant networks, it introduces aspiring analog designers to more advanced topics like inter-reciprocal networks, analog filters, noise analysis of circuits, transmission lines and distributed circuits, and the analysis of circuits with weak nonlinearities. Another important topic, which is not covered in this course due to paucity of time, is that of the study of time-varying circuits. This topic is covered in the course ``Introduction to Time-Varying Electrical Networks’’, also on NPTEL

INTENDED AUDIENCE: M.Tech/M.S/Ph.D students, advanced undergraduates.

PREREQUISITES: Engineering mathematics, a basic course on electric network analysis at the UG level, signals and systems.

INDUSTRY SUPPORT: Companies engaged in analog, mixed-signal and RF design.
Course Status : Completed
Course Type : Elective
Duration : 12 weeks
Category :
  • Electrical, Electronics and Communications Engineering
Credit Points : 3
Level : Postgraduate
Start Date : 24 Jan 2022
End Date : 15 Apr 2022
Enrollment Ends : 07 Feb 2022
Exam Date : 24 Apr 2022 IST

Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

Week 1: Motivation for the topics covered in the course, review of linearity and time-variance, Review of electrical network basics, incidence matrix, Tellegen's theorem, Tellegen's theorem (cntd), its use to prove reciprocity in bilatera
Week 2: Reciprocity in networks with controlled sources (contd), inter-reciprocal networks, Modified Nodal Analysis (MNA) formulation to write network equations
Week 3: MNA formulation (contd), MNA stamps of circuit elements, Reciprocity and inter-reciprocity revisited, Reciprocity and inter-reciprocity (contd), the adjoint network, Introduction to analog filtering, the Butterworth approximation
Week 4: Butterworth filters (continued), opamp-RC realization of filters, Biquadratic sections using opamp-RC integrators, frequency and impedance scaling
Week 5: Cascade of biquads realization of high-order filters, dynamic-range scaling ,Effect of non-ideal opamps on integrator behaviour, Q-enhancement in biquads due to finite opamp gain-bandwidth product
Week 6: Transconductance-capacitance filters, Introduction to noise in electronic circuits, Noise in RLC circuits, Nyquist's theorem, Bode's Noise Theorem
Week 7: Bode's noise theorem (contd), input referred noise sources in networks, Input-referred noise sources (contd) - equivalent noise voltage and current sources, Equivalent noise sources, noise factor
Week 8: Introduction to distributed networks, the ideal transmission line and Telegrapher's equations, Transmission line circuit analysis, the reflection coefficient, open- and short-circuited lines
Week 9: The Smith chart (introduction), the need for scattering parameters, Scattering matrices of simple elements, Scattering matrices properties, measurement of a one-port
Week 10: Scattering matrices (contd), the vector network analyzer, principle behind calibration, Weak nonlinearity in electronic circuits, harmonic distortion, HD2 and IM2
Week 11: Harmonic distortion (contd), third-order distortion and intermodulation, Analysis of weak nonlinearities in circuits using the method of current injection, Method of current-injection (contd), application to analysis of distortion in a negative feedback system
Week 12: Course summary and recap

Books and references


Instructor bio

Prof. Shanthi Pavan

IIT Madras
Shanthi Pavan obtained the B.Tech degree in Electronics and Communication Engg from the Indian Institute of Technology, Madras in 1995 and the doctoral degree from Columbia University, New York in 1999. Since 2002, he has been with IIT-Madras, where he is now a Chair Professor of Electrical Engineering. His research interests are in the areas of high speed analog circuit design and signal processing.Prof.Pavan is the recipient of several awards, including the IEEE Circuits and Systems Society Darlington Best Paper Award and the Shanti Swarup Bhatnagar Award. He is the author of Understanding Delta-Sigma Data Converters (second edition), with Richard Schreier and Gabor Temes. Prof.Pavan has served as the Editor-in-Chief of the IEEE Transactions on Circuits and Systems:Part I - Regular Papers, and on the technical program committee of the International Solid State Circuits Conference. He has been a Distinguished Lecturer of the Solid-State Circuits and Circuits and Systems Societies. He is a fellow of the Indian National Academy of Engineering, and an IEEE fellow.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 24 April 2022 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.


Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup. It will have the logos of NPTEL and IIT Madras.It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team

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